Answer:
Variance = 5
Standard deviation = 2.236
0.2650257
Step-by-step explanation:
For a Poisson distribution is σ² = μ.
Given that:
Mean , μ of bankruptcies files per hour = 5
μ = 5
For a Poisson distribution :
P(x = x) = (μ^x * e^-μ) / x!
The Variance and standard deviation :
Variance : σ² = μ = 5
Standard deviation = sqrt(variance) = sqrt(5) = 2.236
B.) Find the probability that at most three businesses will file bankruptcy in any given hour.
P( x ≤ 3) = P(0) + P(1) + P(2) + P(3)
P(x = 0) = (5^0 * e^-5) / 0! = 0.0067379
P(x = 1) = (5^1 * e^-5) / 1! = 0.0336897
P(x = 2) = (5^2 * e^-5) / 2! = 0.0842243
P(x = 3) = (5^3 * e^-5) / 3! = 0.1403738
0.0067379 + 0.0336897 + 0.0842243 + 0.1403738
= 0.2650257
Using the Poisson distribution, it is found that:
a) The variance is of 5 while the standard deviation is of 2.24. It means that over many hours, the number of bankruptcies should be within 2.24 of 5.
b) 0.265 = 26.5% probability that at most three businesses will file bankruptcy in any given hour.
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by:
[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]
The parameters are:
x is the number of successes e = 2.71828 is the Euler number [tex]\mu[/tex] is the mean in the given interval, which is the same as the variance.In this problem, the mean is of [tex]\mu = 5[/tex].
Item a:
The variance is the same as the mean, of 5.The standard deviation is the square root of the variance, hence [tex]\sqrt{5} = 2.24[/tex]
The variance is of 5 while the standard deviation is of 2.24. It means that over many hours, the number of bankruptcies should be within 2.24 of 5.
Item b:
This probability is:
[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)[/tex]
In which
[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]
[tex]P(X = 0) = \frac{e^{-5}(5)^{0}}{(0)!} = 0.0067[/tex]
[tex]P(X = 1) = \frac{e^{-5}(5)^{1}}{(1)!} = 0.0337[/tex]
[tex]P(X = 2) = \frac{e^{-5}(5)^{2}}{(2)!} = 0.0842[/tex]
[tex]P(X = 3) = \frac{e^{-5}(5)^{3}}{(3)!} = 0.1404[/tex]
Then:
[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0067 + 0.0337 + 0.0842 + 0.1404 = 0.265[/tex]
0.265 = 26.5% probability that at most three businesses will file bankruptcy in any given hour.
A similar problem is given at https://brainly.com/question/16912674
Find the volume of the prism
1: 29 cubic cm
2: 819 cubic cm
3: 208 cubic cm
Answer:
819 cm³
Step-by-step explanation:
Volume of a cuboid = l*b*h
Could someone answer and explain. Will mark the brainliest
Answer: I think you’re right??
Step-by-step explanation:
Integrate [tex]e^{4x}\sqrt{1+e^{2x} } dx[/tex] please show work so i can learn
Answer:
the picture is attachedand sorry I can't explain you much about itHelp I will give Brainily in change!!!
Answer:
A
Step-by-step explanation:
The domain is the set of possible x values.
The given x-coordinates are -2, 1, 0, 3
What is 38 percent of 10 oranges
Answer:
The answer is 3.8
Explanation:
Move the decimal over once to the left.
Answer:
3.8 oranges.
Step-by-step explanation:
Step 1: Our output value is 10.
Step 2: We represent the unknown value with x.
Step 3: From step 1 above, 10=100%.
Step 4: Similarly, x=38%.
Step 5: This results in a pair of simple equations:
10=100%(1).
x=38%(2).
Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both
equations have the same unit (%); we have
10/x= 100%/38%
Step 7: Again, the reciprocal of both sides gives
x/10 = 38/100
---> x=3.8$
Therefore, 38% of 10 is 3.8
PLEASE ANSWER ASAP !!!!!!!!!!!!!!!!!!! WILL GET BRAINLEST IF CORRECT!!!!!!!!!!!!!!!!!!!!!!
Answer:
b
Step-by-step explanation:
these are verticle angles so they will equal each other
3x=30
Answer:
B
Step-by-step explanation:
3x=30
Divide both sides by 3 and cancel the 3 on the left side.
x=10
Check by putting 10 for x
3(10)=30
30=30
p - 13 = 29
Can anyone help me with this
Answer:
42
Step-by-step explanation:
p - 13 = 29
Add 13 to both sides.
p - 13 + 13 = 29 + 13
p = 42
Answer:
p= 42
Step-by-step explanation:
29 plus 13 equals 42 which leaves p alone so p equals 42
Which is the equation of a line parallel to the line with the equation:
y = 1/4x + 2
answer:
y=1/4x-7
Step-by-step explanation:
equations with the same slope are parallel no matter the y-intercept
Answer:
I don't think it's specified but I can tell you the slop has to stay the same but the y-intercept ha
s to be a different number.
if over a certain point the all you have to do is plug the points into x and y and remove the y intercept. An example is what line is parallel to y=1/4x+2 and crosses point (4,2).
Then you first have to plug in x and y and remove the y intercept to find a new y intercept. 2=1/4(4)+B
Next is to put together common like terms. 2=1+B
Then subtract one because that's it's opposite leaving B=1
then you substitute or replace the old y intercept with the new one making the answer Y=1/4x+1
I hope this will help you.
liters = 10,000 milliliters
How many liters do it equal?
Answer:
It will by 10
The graph below shows the relationship between the amount of time in seconds to the distance traveled in feet by a cheetah
Answer:
where's the graph?
Step-by-step explanation:
hehehehe
Convert these mixed numbers into improper fractions.
2 2/3
1 4/7
Answer:
[tex]2\frac{2}{3}[/tex] = [tex]\frac{8}{3}[/tex]
[tex]1\frac{4}{7}[/tex] = [tex]\frac{11}{7}[/tex]
Step-by-step explanation:
[tex]2\frac{2}{3}[/tex]
To convert a mixed number to an improper fraction all you need to do is......
Multiply the denominator of the fraction (3), by the whole number (the big number in front of the fraction) (2), and then you add the numerator....
Denominator times the whole number ( 3 * 2 = 6)
Now add the numerator with what you got ( 6 + 2 = 8)
Now the "8" will be the new numerator, and the denominator stays the same "3".
Improper fraction: [tex]\frac{8}{3}[/tex]
__________________________________________________________
[tex]1\frac{4}{7}[/tex]
We can do the same steps we did for the one above
Multiply the denominator (7) by the whole number (1), and then add the numerator (4)....
Denominator times whole number ( 7 * 1 = 7)
Add the numerator to the answer you got ( 7 + 4 = 11)
Now "11" will be the new numerator, and the denominator stays the same "7".
Improper fraction: [tex]\frac{11}{7}[/tex]
Hope this helped!
Have a supercalifragilisticexpialidocious day!
mZWVA = 106°, m_AVU = 4x + 4,
and mZWVU = 21x + 8. Find x.
What is x?
9514 1404 393
Answer:
x = 6
Step-by-step explanation:
If we assume that ray VA is between VW and VU, then we have ...
∠WVA + ∠AVU = ∠WVU
106° +(4x +4)° = (21x +8)°
102 = 17x . . . . . . . . . . . . . subtract 4x+8
6 = x . . . . . . . . . . divide by 17
Heather went to the grocery store and only bought fruits and vegetables. She spent $3.42 on fruit and $4.74 on vegetables. Heather gave the clerk a $10 bill. Complete the equation below to find how much change she received.
Answer:
1.84$
Step-by-step explanation:
add 3.42 + 4.74 = 8.16 then 10 - 8.16 = 1.84
What percent of an hour is `24` minutes?
Answer:
24 minutes is equal to 24/60 x 100 = 40 percent of one hour
Step-by-step explanation:
40% is ur answer
Pls help will give brainlest to first person who answer correct 50 points
Answer:
-25/3
Step-by-step explanation:
Please let me know if you want me to add an explanation as to why this is the answer/how I got this answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)
Answer:
x = - 25/3Step-by-step explanation:
10/3 = x/(-5/2)x = 10/3*(-5/2)x = - 25/3Edward runs 30 miles in 5 days. Martha runs 28 miles in 4 days. Who runs more miles per day?
Evaluate the following expression when x = -2, y = 5, and t= 8.
[x]+3t-9y
Answer:
the answer is -23 let me if you have questions
simplify the following. 368+169
Answer:
537
Step-by-step explanation:
Kindly solve this question for 15 points:
4 1/9 + 1 1/3 = ?
Answer:
5 4/9
Step-by-step explanation:
I did it myself
PLEASE HELP ASAP I WILL TRY TO AWARD BRAINLYEST
Answer:
id say twice or one-third but im pretty stuiped so..
Step-by-step explanation:
A. Function
B. Not a function
Answer:
a
Step-by-step explanation:
hope this helps
FIRST TO ANSWER GETS A BRAINLEIST
Answer:No
Step-by-step explanation:
They come out to different answers
(x/2-3)/5=6 convert to english sentence
This is 10 questions please answer. 1.Write the ratio as a fraction in the simplest form 15 girls to 6 boys. 2.Write The ratio as a fraction in simplest form 24 players: 3 teams.
3. Write The ratio as a fraction in simplest fraction form 48 worksheets: 12 students.
4. Tell whether the ratios form a proportion 4/7 the 4 is on top of the 7 24/35 the 24 is on top of the 35. 5. Tell whether the ratios form a proportion 11/12 11 top of the 12 33/36 33 on top of the 36. 6. 8/24 8 on top of 24 5/15 5 on top of the 15. 7.3/7 3 is on top of the 7 12/21 12 top of the 21 8. Tell whether the two rates form a proportion 25 cars in 5 days; 60 cars in 12 days.
9.14 books in 2 boxes; 20 books in 3 boxes.
10.On a monday you swim 12 laps in 30 minutes. On tuesday you swim 15 laps in 45 minutes are these rates porportional? Explain.
Answer and explanation:
1. 15 girls to 6 boys = 15:6
15/6= 5/2
2. 24 players to 3 teams = 24:3
24/3= 8/1=8
3. 48 worksheets to 12 students =48:12
48/12= 4/1
4. 4/7 and 24/35 are not proportional as they do not reduce to same ratio
5. 11/12 and 33/36 are proportional because they reduce to same same ratio(33/36=11/12)
6. 8/24 and 5/15 are proportional beacaue they reduce to same ratio(8/24=5/15=1/3)
7. 3/7 and 12/21 are not proportional because they do not reduce to same ratio(3/7≠12/21)
8. 25 cars in 5 days= 25/5= 5 cars each day. 60 cars in 12 days = 60/12=5 cars each day. Therefore they are proportional.
9. 14 books in 2 boxes= 7 books per box. 20 books in 3 boxes = 20/3= 6.667. Therefore they are not proportional.
10. 12 laps in 30 minutes =12/30=2/5
15 laps in 45 minutes =15/45=1/3. Therefore they are not proportional.
A statistics student has a mean score of 92 in the first 3 tests. Suppose there are a total of 4 tests and all of them have equal weight. You can also assume that there is no extra credit in the last test. What is the best possible final average this student can get
Answer:
The best possible final average this student can get is 94.
Step-by-step explanation:
The average score is given by the sum of the scores of all tests divided by the number of tests.
In this question:
First three tests: Mean score of 92, so total score of 92*3 = 276
Best possible score, with 4 tests:
In the first three, the total is 276. The best possible score is with a grade of 100 in the fourth test. The score will be:
[tex]M = \frac{276+100}{4} = \frac{376}{4} = 94[/tex]
The best possible final average this student can get is 94.
Five girls in a homeroom class of 20 students have blonde hair. If there are 120 students in the school, how many would you predict are blonde haired girls?
Step-by-step explanation: To find how many girls are blonde-haired, we'll have to subtract.
120 - 20 =
1. Subtract 0 by 0.
0 - 0 = 0
2. Subtract 2 by 2.
2 - 2 = 0
3. Since there isn't a number in the hundred's place, bring the 1 down.
Therefore, your answer is: 100. There are 100 blonde-haired girls.
(05.05 LC)
If you were to use the substitution method to solve the following system, choose the new
equation after the expression equivalent to x from the second equation is substituted into
the first equation. (5 points)
3x + 2y = -21
x-3y=4
3(3y + 4) + 2y = -21
O 31-3y + 4) + 2y = -21
3x + 2(3y + 4) = -21
3x + 21-3y + 4) = -21
Yes it is yep correct 1000% 10000000000000%
(GIVING BRAINLYIST) 4 ÷ 1/2 YOU HAVE TO show your work on paper using fraction models!
Answer:
8
Step-by-step explanation:
so my school uses the method called kcf (keep change flip)
keep the 4
change the division sign to a multiplication sign
flip 1/2 to 2/1
4x2=8
Answer:
8 i first said two but used a caculater and found out it was 8
Step-by-step explanation:
The linear function is represented by the equation y = -3/5x -2. What can be determined of this equation written in slope-intercept form? Check all that apply
Answer:
We can determine the slope m and the y-intercept of the linear function when the linear equation y = -3/5x -2 is written in slope-intercept form.
Thus, we concluded that:
The y-intercept b = -2The slope m = -3/5Step-by-step explanation:
The slope-intercept form of the linear/line function
[tex]y = mx+b[/tex]
where
m is the slopeb is the y-interceptGiven that the linear function is represented by the equation
[tex]y\:=\:-\frac{3}{5}x\:-2[/tex]
comparing with the slope-intercept form of the linear/line equation
[tex]y = mx + b[/tex]
Therefore,
The slope m = -3/5The y-intercept b = -2Hence, we can determine the slope m and the y-intercept of the linear function when the linear equation y = -3/5x -2 is written in slope-intercept form.
Thus, we concluded that:
The y-intercept b = -2The slope m = -3/5
Which of the following shows the solution and graph to the inequality
2x + 1 ≤ 15?
Answer:
x less than or equal to 7
Step-by-step explanation:
No graphs shown
Answer:
x<=7
Step-by-step explanation: